83507815680 has 144 divisors (see below), whose sum is σ = 267880785984. Its totient is φ = 22170419200.

The previous prime is 83507815661. The next prime is 83507815681. The reversal of 83507815680 is 8651870538.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83507815681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823780 + ... + 919580.

It is an arithmetic number, because the mean of its divisors is an integer number (1860283236).

Almost surely, 2^83507815680 is an apocalyptic number.

83507815680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83507815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133940392992).

83507815680 is an abundant number, since it is smaller than the sum of its proper divisors (184372970304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83507815680 is a wasteful number, since it uses less digits than its factorization.

83507815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96052 (or 96038 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 83507815680 in words is "eighty-three billion, five hundred seven million, eight hundred fifteen thousand, six hundred eighty".